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Finding the Fourth Proportional to 380,374.62, 524,917.83 and 208,303.85

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Solution

The fourth proportional to 380,374.62, 524,917.83 and 208,303.85 is: 287,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,374.62 : 524,917.83 = 208,303.85 : x
  2. Step 2: Convert to fraction form
    380,374.62/524,917.83 = 208,303.85/x
  3. Step 3: Cross multiply
    380,374.62x = 524,917.83 × 208,303.85
  4. Step 4: Simplify right side
    380,374.62x = 109,342,407,016.08
  5. Step 5: Solve for x
    x = 109,342,407,016.08/380,374.62
  6. Step 6: Final answer
    x = 287,459.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.